Adult male height (X) follows (approximately) a normal distribution with a mean of 69 inches and a standard deviation of 2.8 inches.

  1. What proportion of males are less than 65 inches tall? In other words, what is P(X < 65)?
  2. What proportion of males are more than 75 inches tall? In other words, what is P(X > 75)?
  3. What proportion of males are between 66 and 72 inches tall? In other words, what is P(66 < X < 72)?

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